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Finding the Third Proportional to 653,194.13 and 989,637.75

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Solution

The third proportional to 653,194.13 and 989,637.75 is: 1,499,374.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,194.13 : 989,637.75 = 989,637.75 : x
  2. Step 2: Convert to fraction form
    653,194.13/989,637.75 = 989,637.75/x
  3. Step 3: Cross multiply
    653,194.13x = 989,637.75 × 989,637.75
  4. Step 4: Simplify right side
    653,194.13x = 979,382,876,225.06
  5. Step 5: Solve for x
    x = 979,382,876,225.06/653,194.13
  6. Step 6: Final answer
    x = 1,499,374.90

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.